Question

The sides of a triangle are in the ratio of 4:5:7, and the perimeter of the triangle is 56. Find the longest side.

a) 20
b) 24
c) 24.5
d) 28

Answer 1

The longest side of the triangle is 28. The correct answer is d) 28.

Step-by-step explanation:

To find the longest side of the triangle, we first need to find the lengths of the sides. The ratio of the sides is given as 4:5:7. Let's assume the lengths of the sides are 4x, 5x, and 7x, where x is a constant.

According to the problem, the perimeter of the triangle is 56. Using this information, we can set up the equation 4x + 5x + 7x = 56 to find the value of x. Solving the equation, we get x = 4.

Now that we know the value of x, we can find the lengths of the sides. The longest side is given as 7x, so substituting x = 4 into this expression, we find that the longest side is 28. Therefore, the answer is d) 28.